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Finding the Fourth Proportional to 2,403.78, 3,603.19 and 922.60

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Solution

The fourth proportional to 2,403.78, 3,603.19 and 922.60 is: 1,382.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.78 : 3,603.19 = 922.60 : x
  2. Step 2: Convert to fraction form
    2,403.78/3,603.19 = 922.60/x
  3. Step 3: Cross multiply
    2,403.78x = 3,603.19 × 922.60
  4. Step 4: Simplify right side
    2,403.78x = 3,324,303.09
  5. Step 5: Solve for x
    x = 3,324,303.09/2,403.78
  6. Step 6: Final answer
    x = 1,382.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.